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B.Sc. in Mathematics (Single Track) 2017 General University Program Components Studies Requirement Elective 9% Course Type CRD 7% University Requirement (UR) 11 College Requirement (CR) 24 College Major Major Support Requirement (MSR) 10 Requirement Elective 19% Major Requirement (MR) 49 19% Major Elective (ME)1 24 Major General Studies Elective (GSE)2 9 Major Support Training (Internship) N0 0 Requirement Requirement 38% 8% Total Credit (CRD) 127

1Single track students should select five ME courses from list 4 plus exactly one course from each of lists 1,2, and 3 for a total of eight ME courses.

2 Student should select three General Studies Electives, one of them should be from Humanities and Social Science. Note: Two courses may be selected from any Department in the University including the Department of major specialization, provided the course content is not lower than the level that the student has attained in his specialization. It should not be a science course prepared by the college of science for other colleges.

- HU/SS Courses - Humanities and Social Science Component: Any course from the following: Humanities: Fine Arts, History, American Studies, Classics, Communications, Foreign Language, Music, Philosophy, Theatre, Literature (Arabic), and Religion (comparative). Social Science: Anthropology, Economics, Education, Geography, History, Psychology, Sociology, Women's Studies, and Political Science.

Teaching Language: English

Detailed Study Plan

Year 1 - Semester 1

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

ISLM 101 Islamic Culture 3 0 3 UR ----- No

ENGL 125 English for Science I (SCI) 3 0 3 CR ----- No

ITCS 113 Computer Programming I 3 2 3 CR ----- No

MATHS 121 Calculus and Analytic Geometry I 3 0 3 CR ----- Yes

PHYCS 101 General Physics I 3 3 4 CR ----- No

Year 1 - Semester 2

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

ENGL 126 English for Science II (SCI) 3 0 3 CR ENGL 125 No

PHYCS 102 General Physics II 3 3 4 MSR PHYCS 101 No

ARAB 110 Arabic Language Skills 3 0 3 UR ----- No

MATHS 122 Calculus and Analytic Geometry II 4 0 4 MR MATHS 121 Yes

ITCS 114 Computer Programming II 3 2 3 MSR ITCS 113 No

Year 2 - Semester 3

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

ITCS 214 Data Structures 3 2 3 MSR ITCS 114 No

MATHS 204 Calculus and Analytic Geometry III 3 0 3 MR MATHS 122 Yes

MATHS 205 Differential Equations 3 0 3 MR MATHS 122 Yes

BIOLS 102 General Biology I 3 3 4 CR ----- No

HIST 122 Modern History of Bahrain and Citizenship 3 0 3 UR ----- No

Year 2 - Semester 4

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

CHEMY 101 General Chemistry I 3 3 4 CR ----- No

MATHS 211 Linear Algebra 3 0 3 MR MATHS 121 Yes

MATHS 253 Set Theory 3 0 3 MR MATHS 121 Yes

STAT 271 Introduction to Probability 3 0 3 MR MATHS 121 Yes

GSE XXX Humanities / Social Science X X 3 GSE ----- No

Year 3 - Semester 5

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 303 Analysis I 3 0 3 MR MATHS 204 Yes

MATHS 311 Abstract Algebra I 3 0 3 MR MATHS 211 Yes

MATHS 122 MATHS 331 Numerical Analysis I 3 0 3 MR Yes & ITCS 114 MATHS 122 STAT 371 Probability and Statistics I 3 0 3 MR Yes & STAT 271 As per ME MATHS 3/4XX Major Elective 1 from list 1 3 0 3 ME Yes list

Year 3 - Semester 6

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 304 Analysis II 3 0 3 MR MATHS 303 Yes

MATHS 312 Abstract Algebra II 3 0 3 MR MATHS 311 Yes

MATHS 204 & MATHS 381 Methods of Applied Mathematics 3 0 3 MR Yes MATHS 205

MATHS 341 Complex Analysis I 3 0 3 MR MATHS 204 Yes

As per ME MATHS 4XX Major Elective 2 from list 2 3 0 3 ME Yes list

HRLC 107 Human Rights 2 0 2 UR ----- No

Year 4 - Semester 7

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 401 Applied Mathematics I 3 0 3 MR MATHS 381 Yes

MATHS 395 Problem Solving in Mathematics 3 0 3 MR MATHS 381 Yes

As per ME MATHS 4XX Major Elective 3 from from list 3 3 0 3 ME Yes list As per ME MATHS 3/4XX Major Elective 4 from list 4 3 0 3 ME Yes list

GSE XXX Free Elective Course 1 X X 3 GSE ----- No

Year 4 - Semester 8

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA As per ME MATHS 3/4XX Major Elective 5 from list 4 3 0 3 ME Yes list As per ME MATHS 4XX Major Elective 6 from list 4 3 0 3 ME Yes list As per ME MATHS 4XX Major Elective 7 from list 4 3 0 3 ME Yes list As per ME MATHS 4XX Major Elective 8 from list 4 3 0 3 ME Yes list GSE XXX Free Elective Course 2 X X 3 GSE ----- No

B.Sc. in Mathematics (Major Mathematics) 2017 Program Components University Requirement Course Type CRD 9% University Requirement (UR) 11 General Minor Studies Requirement College Requirement (CR) 24 Elective s 2% 16% Major Support Requirement (MSR) 10 College Major Requirement Major Requirement (MR) 49 Elective 19% 7% Major Elective (ME)1 9 General Studies Elective (GSE)2 3 Major Minor Requirements (Minor)3 21/22 Major Support Requirement Requirement Training (Internship) No 0 39% 8% Total Credit (CRD) 127/128

1Major students should select three ME courses from List 1-2.

2 Student should select one Elective course from Humanities and Social Science. Note: - HU/SS Courses - Humanities and Social Science Component: Any course from the following: Humanities: Fine Arts, History, American Studies, Classics, Communications, Foreign Language, Music, Philosophy, Theatre, Literature (Arabic), and Religion (comparative). Social Science: Anthropology, Economics, Education, Geography, History, Psychology, Sociology, Women's Studies, and Political Science.

3 Student should take seven courses as a Minor in one of the following specializations: Biology, Chemistry, Computer Science, Physics, Statistics, or Astronomy according to the requirements of the department offering the minor.

Important Note: Overlapping Courses If any of the listed courses in the minor requirements tables below is covered as part of the major degree requirements, then the student must replace them with an equal number of courses from the minor field , which are at the same level or higher. The total number of minor courses must be seven for all fields, with a minimum of 21 credit hours.

Detailed Study Plan

Year 1 - Semester 1

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

ARAB 110 Arabic Language Skills 3 0 3 UR ----- No

ITCS 113 Computer Programming I 3 2 3 CR ----- No

ENGL 125 English for Science I (SCI) 3 0 3 CR ----- No

MATHS 121 Calculus and Analytic Geometry I 3 0 3 CR ----- Yes

PHYCS 101 General Physics I 3 3 4 CR ----- No

Year 1 - Semester 2

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

HRLC 107 Human Rights 2 0 2 UR ----- No

MATHS 122 Calculus and Analytic Geometry II 4 0 4 MR MATHS 121 Yes

PHYCS 102 General Physics II 3 3 4 MSR PHYCS 101 No

ITCS 114 Computer Programming II 3 2 3 MSR ITCS 113 No

ENGL 126 English for Science II (SCI) 3 0 3 CR ENGL 125 No

Year 2 - Semester 3

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 204 Calculus and Analytic Geometry III 3 0 3 MR MATHS 122 Yes

MATHS 205 Differential Equations 3 0 3 MR MATHS 122 Yes

CHEMY 101 General Chemistry I 3 3 4 CR ----- No

ISLM 101 Islamic Culture 3 0 3 UR ----- No

STAT 271 Introduction to Probability 3 0 3 MR MATHS 121 Yes

Year 2 - Semester 4

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 211 Linear Algebra 3 0 3 MR MATHS 121 Yes

MATHS 253 Set Theory 3 0 3 MR MATHS 121 Yes

BIOLS 102 General Biology I 3 3 4 CR ----- No

HIST 122 Modern History of Bahrain and Citizenship 3 0 3 UR ----- No

ITCS 214 Data Structures 3 2 3 MSR ITCS 114 No

Year 3 - Semester 5

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 303 Analysis I 3 0 3 MR MATHS 204 Yes MATHS 122 MATHS 331 Numerical Analysis I 3 0 3 MR Yes & ITCS 114 MATHS 122 STAT 371 Probability and Statistics I 3 0 3 MR Yes & STAT 271

Minor Course 1 X X 3/4 Minor As per Minor No

Minor Course 2 X X 3 Minor As per Minor No

GSE XXX Humanities / Social Science X X 3 GSE ----- No

Year 3 - Semester 6

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 304 Analysis II 3 0 3 MR MATHS 303 Yes

MATHS 311 Abstract Algebra I 3 0 3 MR MATHS 211 Yes

MATHS 204 & MATHS 381 Methods of Applied Mathematics 3 0 3 MR Yes MATHS 205

MATHS 341 Complex Analysis I 3 0 3 MR MATHS 204 Yes

Minor Course 3 X X 3 Minor As per Minor No

Year 4 - Semester 7

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 312 Abstract Algebra II 3 0 3 MR MATHS 311 Yes

MATHS 395 Problem Solving in Mathematics 3 0 3 MR MATHS 381 Yes

MATHS 401 Applied Mathematics I 3 0 3 MR MATHS 381 Yes

Minor Course 4 X X 3 Minor As per Minor No

Minor Course 5 X X 3 Minor As per Minor No

Year 4 - Semester 8

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA As per ME MATHS 3/4XX Major Elective 1 from list 4 3 0 3 ME Yes list As per ME MATHS 4XX Major Elective 2 from list 4 3 0 3 ME Yes list As per ME MATHS 4XX Major Elective 3 from list 4 3 0 3 ME Yes list Minor Course 6 X X 3 Minor As per Minor No

Minor Course 7 X X 3 Minor As per Minor No

Major Elective Courses List 1

Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA

MATHS 352 Number Theory 3 0 3 ME MATHS 121 Yes

MATHS 411 Commutative Algebra 3 0 3 ME MATHS 312 Yes

List 2 MATHS 253 & MATHS 415 Topology I ME Yes 3 0 3 MATHS 303 MATHS 211 & MATHS 417 Functional Analysis ME Yes 3 0 3 MATHS 303

List 3

MATHS 451 Topics in Geometry 3 0 3 ME MATHS 253 Yes

MATHS 452 Differential Geometry 3 0 3 ME MATHS 204 Yes

List 4

Course Hours Course Pre Major Course Code Course Title Type requisite GPA LEC PRAC CRD

MATHS 352 Number Theory 3 0 3 ME MATHS 121 Yes

MATHS 411 Commutative Algebra 3 0 3 ME MATHS 312 Yes MATHS 253 & MATHS 415 Topology I ME Yes 3 0 3 MATHS 303 MATHS 211 & MATHS 417 Functional Analysis ME Yes 3 0 3 MATHS 303 MATHS 451 Topics in Geometry 3 0 3 ME MATHS 253 Yes

MATHS 452 Differential Geometry 3 0 3 ME MATHS 204 Yes

MATHS 305 History of Mathematics 3 0 3 ME ----- Yes

Introduction to Lie Group for Differential MATHS 204 & MATHS 307 3 0 3 ME Yes Equations MATHS 205 MATHS 332 Numerical Analysis II 3 0 3 ME MATHS 331 Yes

MATHS 204 & MATHS 385 Analytical Mechanics ME Yes 3 0 3 MATHS 205 MATHS 387 Fluid Mechanics 3 0 3 ME MATHS 385 Yes

MATHS 388 Vector Analysis And Tensor Analysis 3 0 3 ME MATHS 204 Yes

MATHS 402 Applied Mathematics II 3 0 3 ME MATHS 401 Yes

MATHS 405 Theory of Differential Equations 3 0 3 ME MATHS 205 Yes

MATHS 416 Topology II 3 0 3 ME MATHS 415 Yes

MATHS 441 Complex Analysis II 3 0 3 ME MATHS 341 Yes MATHS 204 & MATHS 461 Elementary Partial Differential Equation ME Yes 3 0 3 MATHS 205 Department MATHS 499 Independent Project ME Yes 0 0 3 Approval

Course Description Course Code: MATHS 122 Course Title: Calculus and Analytic Geometry II Methods of integration. Applications to areas; arc length; volumes; etc. Parametric equations. Polar coordinates. Infinite series. Taylors’ theorem and power series.

Course Code: MATHS 204 Course Title: Calculus and Analytic Geometry III Vectors. Vector functions and vector analysis. Partial differentiation. Tangent planes. Normal lines. Chain rule. Maxima-minima. Higher order derivatives. Line integrals and multiple integrals. Applications to volumes and surface areas. Green’s and Stokes’ theorems.

Course Code: MATHS 205 Course Title: Differential Equations Differential equations of first order and their solution. Separable and exact equations. Equations convertible to separable type. Higher order linear equations with constant coefficients (homogeneous and non-homogeneous). Power series method for second order linear equations. Variation of parameters. Laplace transform technique. Applications of differential equations.

Course Code: MATHS 211 Course Title: Linear Algebra Fields. Vector spaces. Linear dependence and independence. Bases. Dimensions. Subspaces. Quotient spaces. Linear transformations. Connection with matrices. Change of bases (PAQ and PAP). Eigen-values. Characteristic polynomial. Minimal polynomial. Canonical forms in simple cases. Real and complex inner-product spaces. Orthonormal bases. Orthogonal and complex unitary matrices and their eigen-values. Orthogonal and unitary reduction of real symmetric and complex Hermitian matrices.

Course Code: MATHS 253 Course Title: Set Theory Elementary logic. Concept of sets. Relations and functions. Denumerable sets and nondenumerable sets. Cardinal numbers and cardinal arithmetic. The axiom of choice and some of its equivalent forms.

Course Code: MATHS 303 Course Title: Analysis I Basic properties of Real number (R). Rigorous discussion of Sequences and Series in R. Topology of R. Rigorous discussion of limits; continuity and differentiation of functions of one variable (real).

Course Code: MATHS 304 Course Title: Analysis II Riemann integral. Metric spaces and topology of metric spaces. Continuous functions on metric spaces. Banach fixed point theorem. Weirstrass approximation theorem. Pointwise and uniform convergence of sequences and series of functions. Application to power series and Fourier series. Differentiation of function from Rm to Rn.

Course Code: MATHS 305 Course Title: History of Mathematics Primitive Origins. Egyptian Mathematics. Mesopotamia: Babylonian Mathematics. Greek: Ionia and the Pythagorean. Euclid of Alexandria. China and India. Islamic Mathematics. Mathematics of Middle ages and Renaissance. Modern Mathematics.

Course Code: MATHS 307 Course Title: Introduction to Lie Group for Differential Equations First integral of systems of ordinary differential equations, Symmetric form of system, Integration of partial differential equations, Non-homogenous equations, Transformation groups, Infinitesimal transformations, Lie equations and the exponential map, canonical variables, invariants and invariant equations, The frame of a differential equations, Extension of group actions to derivatives, Generators of prolonged groups, Symmerty groups, Calculation of infinitesimal symmetries, Lie algebras and integration of non-linear differential equations.

Course Code: MATHS 311 Course Title: Abstract Algebra I Groups. Homomorphisms. Subgroups. Cyclic groups. Permutation groups, groups of symmetries. Lagrange’s theorem. Normal subgroups. Quotient groups. Fundamental theorem of group homomorphisms. Conjugacy. Sylow’s theorems. direct products.

Course Code: MATHS 312 Course Title: Abstract Algebra II Rings and their homomorphisms. Ideals. Residue class rings. Fundamental theorem of ring homomorphisms. Integral domains. Fields. Prime and maximal ideals. Factorization in integral domains. Gauss theorem. Euclidean and principal ideal domains. Field, algebraic, normal, and finite extension.

Course Code: MATHS 331 Course Title: Numerical Analysis I Computer arithmetic. Use of mathematical subroutine packages. Solution of equations and systems of equations (linear and nonlinear). Interpolation. Numerical differentiation and integration.

Course Code: MATHS 332 Course Title: Numerical Analysis II Numerical solution of ordinary differential equations (initial and boundary value problems). Eigenvalues and eigenvectors of a matrix. Curve fitting and approximation. Introduction to partial differential equations and their numerical solution.

Course Code: MATHS 341 Course Title: Complex Analysis I Complex numbers. Analytic functions. Power series. Taylor series. Cauchy integral theorem and formula. Residues. Contour integration.

Course Code: MATHS 352 Course Title: Number Theory Divisibility. Primes. Linear Congruences. Fermat’s Theorem. Wilson’s Theorem. Power Residues. Quadratic Reciprocity. Arithmetic Functions. Dirichlet Product. Some Diophatine Equations. Irrational Numbers. Algebraic Numbers.

Course Code: MATHS 381 Course Title: Methods of Applied Mathematics Review of Stokes’ and divergence theorems. Fourier series and Fourier transforms. Laplace transforms. Partial differential equations. Special functions.

Course Code: MATHS 385 Course Title: Analytical Mechanics Virtual work. Shearing Stress and bending moments. Space forces. Hydrostatics. Catenary. Newtonian Mechanics. Rectilinear motion of a particle. General motion of a particle in three dimensions. Non reference System. Central forces and celestial mechanics. Dynamics of Systems of many particles. Mechanics of rigid bodies in two and three dimensions. Lagrange Mechanics. Dynamics of oscillating system.

Course Code: MATHS 387 Course Title: Fluid Mechanics Kinematics of fluids. Equation of continuity. Euler’s equations motion. Bernouli’s equation. Impulsive motion in two dimensions. Sources and sinks. Irrotational motion. Vortex motion. Blasiu’s theorem. Waves Navier - stokes equations. Conformal representation.

Course Code: MATHS 388 Course Title: Vector Analysis And Tensor Analysis Orthogonal curvilinear coordinates. Potential theory. Cartesian Tensor. The Summaton convention. Orthogonal rotation of axes. Tensor of Order zero and unity. Stress tensor. Tensors of order m. Alternating Symbol. Proper and axial Tensor.

Course Code: MATHS 395 Course Title: Problem Solving in Mathematics Various topics on Applied Mathematics with a concentration on the application of Mathematical techniques to problems of Applied nature.

Course Code: MATHS 401 Course Title: Applied Mathematics Fourier series. Solution of partial differential equations by the method of separation of variables. Solution of typical initial and boundary value problems arising in applications (heat flow. Vibrating strings and membranes). Sturm- Liouville eigenvalue problems. Green’s function.

Course Code: MATHS 402 Course Title: Applied Mathematics II Green’s function for time independent problems. Fourier transform solutions of partial differential equations. Linear integral equations. Integro-differential equations. Initial and boundary problems. Potential theory.

Course Code: MATHS 405 Course Title: Theory of Differential Equations Basic existence and uniqueness theorems. Linear differential equations. Systems of linear differential equations. Autonomous systems, variation of parameters. Oscillation of solutions. Characteristic functions. Stability theory. Liapunov functions.

Course Code: MATHS 411 Course Title: Commutative Algebra Modules over commutative rings. Chain conditions. Noetherian rings. Artinian rings. Injective and projective modules.

Course Code: MATHS 415 Course Title: Topology I Basic ideas of set theory, metric and topological spaces. Separation properties. Continuity and uniform continuity. Completeness. Compactness. Connectedness. Normal and locally Tychonoff’s Theorem.

Course Code: MATHS 416 Course Title: Topology II Simplicial complexes. Homology groups, simplicial approximation. Brouwer’s Fixed Point Theorem. Homotopy groups.

Course Code: MATHS 417 Course Title: Functional Analysis Linear spaces. Norms. Basic properties of Banach and Hilbert spaces. Orthogonality. Best approximation. Sequence and function spaces. Bounded linear operators. Fundamental principles of Functional Analysis. Applications to differential and integral operators.

Course Code: MATHS 441 Course Title: Complex Analysis II Contour integration. Conformal mapping. Series and sequences, analytical continuation. Harmonic functions. Dirichlet’s problem. Fourier and Laplace transforms.

Course Code: MATHS 451 Course Title: Topics in Geometry Axiomatic systems. Euclid’s treatment of geometry and its drawbacks as an axiomatic system. Elliptic and hyperbolic geometries.

Course Code: MATHS 452 Course Title: Differential Geometry Discussion of curve in E3: Frenet formulas. Arbitrary speed curves. Covariant differentiation. Frame field; connection forms and structural equations. The theory of surfaces in E3 including mapping theorems. Curvature. The fundamental equation and global theorems. Isometries and intrinsic geometry of surfaces in E3: orientability and congruence of surfaces.

Course Code: MATHS 461 Course Title: Elementary Partial Differential Equation Basic existence and uniqueness theorems. Linear; Quasilinear and non-linear first order equations. Linear second order equations and their classification. The Laplace Equations-the mean value property. The maximum Principle. Drichelt problem. The diffusion Equation. The Bessel functions and its zero’s-orthogonality.

Course Code: MATHS 499 Course Title: Independent Project The student will work with a member of the academic staff on a mathematical topic not covered in the regular curriculum. The student is expected to present one or more talks before the Department.

Course Code: STAT 271 Course Title: Introduction to Probability Descriptive Statistics. Sample spaces. Probability functions. Conditional probability. Independence. Combinatorics. Random variables and their distributions. Distribution functions. Geometric, binomial, Poisson and other discrete distributions. Uniform, normal and other continuous distributions. Some limit theorems.

Course Code: STAT 371 Course Title: Probability and Statistics I Random variables and probability distributions. Moment generating Functions. Joint Probability distributions. Normal, gamma, Chi square and other distributions. Central Limit Theorem.

Free Electives and General Study Electives List(Humanities and Social Science) for MATHS Course Hours Course Pre Course Code Course Title Lec Prac CRD Type requisite ARAB 141 Modern Arabic Lit. 3 0 3 GSE ------

ARAB 242 Arabic Poetry In The Renaissance Period 3 0 3 GSE ------Fundamentals of Music and Its ART 133 3 0 3 GSE ------Appreciation ART 141 Drawing and Painting 2 1 3 GSE ------Traditional Music of Bahrain and Its ART 221 3 0 3 GSE ------Application CHL 101 Introduction to Chinese Language 3 0 3 GSE ------

CHL 102 Basic Chinese Language 3 0 3 GSE CHL 101

ECON 140 Microeconomics 3 0 3 GSE ------

EDAR 126 Playing on Piano and Org 1 3 0 3 GSE ------

EDPS 144 Psychology of Learning and Memory 3 0 3 GSE ------

EDTC 100 Teaching and Learning Technology 3 0 3 GSE ------

ENGL 130 Introduction to Literature 3 0 3 GSE ------

FREN 141 French I 3 0 3 GSE ------

FREN 142 French II 3 0 3 GSE FREN 141

GERM 101 Introduction to German 3 0 3 GSE ------

HISTO 212 Contemporary History of The Arab World 3 0 3 GSE ------

HISTO 281 Landmarks of Islamic Civilisation 3 0 3 GSE ------

ISLM 114 Quranic Sciences 3 0 3 GSE ------

ISLM 136 Biography of The Prophet 3 0 3 GSE ------

ISLM 141 Introduction to Shari'a 3 0 3 GSE ------

ISLM 252 Islamic Doctrine 3 0 3 GSE ------

JAPN 101 Japanese Level I 3 0 3 GSE ------

JAPN 102 Japanese Level II 3 0 3 GSE JAPN 101

KL 101 Korean Language I 3 0 3 GSE ------

KL 102 Korean Language II 3 0 3 GSE KL 101

LAW 101 Introduction to Legal Studies 3 0 3 GSE ------

LAW 102 History of Law 3 0 3 GSE ------

LAW 106 Constitutional Law I 3 0 3 GSE ------Entrepreneurship and Small Business MGT 341 3 0 3 GSE ------Management for Non Business Student

Course Hours Course Pre Course Code Course Title Lec Prac CRD Type requisite PSYC 103 Introduction to Psychology 3 0 3 GSE ------

PSYC 120 Psychology of Marriage 3 0 3 GSE ------

PSYC 211 Educational Psychology 3 0 3 GSE ------PSYC 103 or PSYC 281 Thinking Skills 3 0 3 GSE EDPS 241 SOCIO 161 Introduction to Sociology 3 0 3 GSE ------

SOCIO 181 Introduction to Anthropology 3 0 3 GSE ------

SOCIO 191 Citizenship, Identity and Globalization 3 0 3 GSE ------

SOCIO 224 Sociology of Health 3 0 3 GSE ------

SOCIO 226 Sociology of Arabian Gulf 3 0 3 GSE ------

TL 101 Turkish Language 3 0 3 GSE ------Free MATHS 305 History of Mathematics ----- 3 0 3 GSE Introduction to Lie Group for Differential Free MATHS 204 & MATHS 307 3 0 3 Equations GSE MATHS 205 Free MATHS 332 Numerical Analysis II MATHS 331 3 0 3 GSE Free MATHS 352 Number Theory MATHS 121 3 0 3 GSE Free MATHS 204 & MATHS 385 Analytical Mechanics 3 0 3 GSE MATHS 205 Free MATHS 387 Fluid Mechanics MATHS 385 3 0 3 GSE Free MATHS 388 Vector Analysis And Tensor Analysis MATHS 204 3 0 3 GSE Free MATHS 402 Applied Mathematics II MATHS 401 3 0 3 GSE Free MATHS 405 Theory of Differential Equations MATHS 205 3 0 3 GSE Free MATHS 411 Commutative Algebra MATHS 312 3 0 3 GSE Free MATHS 253 & MATHS 415 Topology I 3 0 3 GSE MATHS 303 Free MATHS 416 Topology II MATHS 415 3 0 3 GSE Free MATHS 211 & MATHS 417 Functional Analysis 3 0 3 GSE MATHS 303 Free MATHS 441 Complex Analysis II MATHS 341 3 0 3 GSE Free MATHS 451 Topics in Geometry MATHS 253 3 0 3 GSE Free MATHS 452 Differential Geometry MATHS 204 3 0 3 GSE Free MATHS 204 & MATHS 461 Elementary Partial Differential Equation 3 0 3 GSE MATHS 205 Free STAT 372 Probability and Statistics II 3 0 3 STAT 371 GSE Free STAT 373 Statistical Packages and Simulation 3 0 3 STAT 271 GSE Free MATHS 211 & STAT 374 Regression Analysis 3 0 3 GSE STAT 372

Course Hours Course Pre Course Code Course Title Lec Prac CRD Type requisite Free STAT 378 Surveys and Sampling 3 0 3 STAT 371 GSE Free STAT 381 Time Series Analysis 3 0 3 STAT 372 GSE Free STAT 382 Biostatistics and Epidemiology 3 0 3 MATHS 121 GSE Free STAT 383 Demography and Population Studies 3 0 3 MATHS 121 GSE Free STAT 384 Bayesian Inference 3 0 3 STAT 371 GSE Free ECON140 & STAT 385 Econometrics 3 0 3 GSE STAT 271 Free STAT 391 Non Parametric Statistics 3 0 3 STAT 271 GSE Free STAT 392 Operational Research I 3 0 3 MATHS 211 GSE Free STAT 393 Operational Research II 3 0 3 STAT 392 GSE Free MATHS 122 & STAT 394 Linear programming 3 0 3 GSE STAT 271 Free STAT 471 Decision Theory 3 0 3 STAT 372 GSE Free STAT 472 Analysis and Design of Experiments 3 0 3 STAT 372 GSE Free MATHS 211 & STAT 473 Introduction to Multivariate Analysis 3 0 3 GSE STAT 372 Free STAT 474 Statistical Modelling 3 0 3 STAT 372 GSE Free STAT 476 Queuing systems 3 0 3 STAT 372 GSE Free STAT 478 Introduction to Stochastic Processes 3 0 3 STAT 372 GSE Free STAT 479 Reliability 3 0 3 STAT 372 GSE Department GSE XXX Other electives X X 3 GSE Approval

Minor Degree Program Requirements

Minor in Biology

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

BIOLS 103 General Biology II 3 3 4 Minor BIOLS 102 Yes

BIOLS 250 Microbiology 2 3 3 Minor BIOLS 103 Yes

BIOLS 222 Plant Morphology 2 3 3 Minor BIOLS 103 Yes

BIOLS 234 Chordate Zoology 2 3 3 Minor BIOLS 103 Yes

BIOLS 300 Cell Biology 2 3 3 Minor BIOLS 102 Yes

BIOLS 340 General Ecology 2 3 3 Minor BIOLS 103 Yes

See the BIOLS 4XX* (see the list below) 2 3 3 Minor Yes list below

*Students should select electives 4XX from the following:

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

BIOLS 441 Environmental Impact Assessment 2 3 3 Minor BIOLS 340 Yes

BIOLS 442 Conservation Biology 2 3 3 Minor BIOLS 340 Yes

BIOLS 451 Immunology 2 3 3 Minor BIOLS 250 Yes

BIOLS 452 Biology of Prokaryotes 2 3 3 Minor BIOLS 250 Yes

BIOLS 481 Fish and Fisheries 2 3 3 Minor BIOLS 234 Yes

Minor in Chemistry for Mathematics Major

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

CHEMY 102 General Chemistry II X X 4 Minor CHEMY 101 Yes

Minor 2 to be taken from Chemistry: Major See the list CHEMY 2XX** X X 3 Minor Yes Requirements or Major Electives List 1 below Minor 3 to be taken from Chemistry: Major See the list CHEMY 2XX** X X 3 Minor Yes Requirements or Major Electives List 1 below CHEMY Minor 4 to be taken from Chemistry: Major See the list X X 3 Minor Yes 3/4XX Requirements or Major Electives List 1 below CHEMY Minor 5 to be taken from Chemistry: Major See the list X X 3 Minor Yes 3/4XX Requirements or Major Electives List 1 below CHEMY Minor 6 to be taken from Chemistry: Major See the list X X 3 Minor Yes 3/4XX Requirements or Major Electives List 1 below CHEMY Minor 7 to be taken from Chemistry: Major See the list X X 3 Minor Yes 3/4XX Requirements or Major Electives List 1 below

** CHEMY 223 (Organic Chemistry for Biological Sciences) is NOT ACCEPTED among the CHEMY 2XX minor requirements.

List 1 Electives for Minor Chemistry

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA CHEMY 211 Analytical Chemistry I 3 2 3 Minor CHEMY 102 Yes

CHEMY 221 Organic Chemistry I 3 2 3 Minor CHEMY 102 Yes

CHEMY 231 Physical Chemistry I 3 2 3 Minor CHEMY 102 Yes

CHEMY 241 Inorganic Chemistry I 3 2 3 Minor CHEMY 102 Yes Professional and Transferable Skills for CHEMY 300 3 0 3 Minor CHEMY 102 Yes Chemists CHEMY 311 Analytical Chemistry II 3 0 3 Minor CHEMY 211 Yes

CHEMY 321 Organic Chemistry II 3 0 3 Minor CHEMY 221 Yes

CHEMY 331 Physical Chemistry II 3 0 3 Minor CHEMY 231 Yes

CHEMY 332 Practical Physical Chemistry 0 6 3 Minor CHEMY 331 Yes CHEMY 201 or CHEMY 333 Quantum Chemistry 3 0 3 Minor Yes MATHS 122 CHEMY 341 Inorganic Chemistry II 3 0 3 Minor CHEMY 241 Yes

CHEMY 348 Industrial Inorganic Chemistry 3 0 3 Minor CHEMY 241 Yes CHEMY 211 Principles and applications of Green CHEMY 351 3 0 3 Minor & CHEMY Yes Chemistry 221 CHEMY 422 Physical Organic Chemistry 3 0 3 Minor CHEMY 321 Yes

CHEMY 423 Selected Topics in Heterocyclic Chemistry 3 0 3 Minor CHEMY 321 Yes

CHEMY 424 Natural Products 2 3 3 Minor CHEMY 321 Yes

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA CHEMY 425 Mechanism in organic Chemistry 3 0 3 Minor CHEMY 321 Yes

CHEMY 426 Food Chemistry 2 3 3 Minor CHEMY 321 Yes

CHEMY 428 Industrial Organic Chemistry 3 0 3 Minor CHEMY 321 Yes Chemical Dynamics: Catalyst and Surface CHEMY 431 3 0 3 Minor CHEMY 331 Yes Chemistry CHEMY 434 Polymer Chemistry 2 3 3 Minor CHEMY 321 Yes

CHEMY 435 Advance Thermodynamics 3 0 3 Minor CHEMY 331 Yes

CHEMY 438 Electrochemistry 3 0 3 Minor CHEMY 331 Yes

CHEMY 442 Bio-inorganic Chemistry 2 3 3 Minor CHEMY 341 Yes

CHEMY 443 Inorganic Reaction Mechanisms 3 0 3 Minor CHEMY 341 Yes

CHEMY 452 Environmental Chemistry 2 3 3 Minor CHEMY 312 Yes

CHEMY 453 Organic Environmental Chemistry 2 3 3 Minor CHEMY 322 Yes Application of Group Theory of Inorganic CHEMY 441 3 0 3 Minor CHEMY 341 Yes Chemistry CHEMY 411 Analytical Chemistry III 3 0 3 Minor CHEMY 311 Yes

CHEMY 432 Physical Chemistry III 3 0 3 Minor CHEMY 331 Yes

CHEMY 421 Organic Chemistry III 3 0 3 Minor CHEMY 321 Yes

Minor in Statistics for Mathematics Major

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

STAT 372 Probability and Statistics II 3 0 3 Minor STAT 371 Yes

STAT 373 Statistical Packages and Simulation 3 0 3 Minor STAT 271 Yes STAT 275 Introduction to Statistics using Software MATHS 121 or Minor 3 to be taken from Statistics: Major 3 0 3 Minor See the list Yes STAT 3/4XX Requirements or Major Electives courses List 1 below Minor 4 to be taken from Statistics: Major See the list STAT 3/4XX 3 0 3 Minor Yes Requirements or Major Electives courses List 1 below Minor 5 to be taken from Statistics: Major See the list STAT 3/4XX 3 0 3 Minor Yes Requirements or Major Electives courses List 1 below Minor 6 to be taken from Statistics: Major See the list STAT 3/4XX 3 0 3 Minor Yes Requirements or Major Electives courses List 1 below Minor 7 to be taken from Statistics: Major See the list STAT 3/4XX 3 0 3 Minor Yes Requirements or Major Electives courses List 1 below

List 1: Electives for Minor Statistics Course Hours Course Pre Major Course Code Course Title LEC PRAC CRD Type requisite GPA MATHS 211 & STAT 374 Regression Analysis 3 0 3 Minor Yes STAT 372 STAT 378 Surveys and Sampling 3 0 3 Minor STAT 371 Yes STAT 381 Time Series Analysis 3 0 3 Minor STAT 372 Yes STAT 382 Biostatistics and Epidemiology 3 0 3 Minor MATHS 121 Yes

STAT 383 Demography and Population Studies 3 0 3 Minor MATHS 121 Yes STAT 384 Bayesian Inference 3 0 3 Minor STAT 371 Yes ECON140 & STAT 385 Econometrics 3 0 3 Minor Yes STAT 271 STAT 391 Non Parametric Statistics 3 0 3 Minor STAT 271 Yes STAT 392 Operational Research I 3 0 3 Minor MATHS 211 Yes STAT 393 Operational Research II 3 0 3 Minor STAT 392 Yes MATHS 122 & STAT 394 Linear programming 3 0 3 Minor Yes STAT 271 STAT 471 Decision Theory 3 0 3 Minor STAT 372 Yes

STAT 472 Analysis and Design of Experiments 3 0 3 Minor STAT 372 Yes MATHS 211 & STAT 473 Introduction to Multivariate Analysis 3 0 3 Minor Yes STAT 372 STAT 474 Statistical Modelling 3 0 3 Minor STAT 372 Yes

STAT 476 Queuing systems 3 0 3 Minor STAT 372 Yes STAT 478 Introduction to Stochastic Processes 3 0 3 Minor STAT 372 Yes

STAT 479 Reliability 3 0 3 Minor STAT 372 Yes

Minor in Physics for Mathematics Major

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

PHYCS 209 Bulk Properties of Matter 3 2 3 Minor PHYCS 101 Yes PHYCS 102 PHYCS 221 Methods of Mathematical Physics I 3 0 3 Minor Yes & MATHS 122

PHYCS 222 Modern Physics 3 2 3 Minor PHYCS 102 Yes

PHYCS 324 Atomic and Molecular Physics 3 2 3 Minor PHYCS 222 Yes

PHYCS 241 Introductory Electronics PHYCS 102 or or or X X 3 Minor Yes See the list 2 PHYCS 3/4XX** Any course from the list 2 below See the list 1 PHYCS 3XX* Any course from List 1 X X 3 Minor Yes below PHYCS See the list 2 Any course from the list 2 X X 3 Minor Yes 3/4XX** below

*List 1: Students should select one course 3XX from the following:

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA PHYCS 221 PHYCS 314 Classical Mechanics 3 2 3 Minor Yes or MATHS 205

PHYCS 326 Quantum Mechanics I 3 2 3 Minor PHYCS 222 Yes PHYCS 221 PHYCS 348 Electromagnetic Theory 3 2 3 Minor Yes or MATHS 205

PHYCS 365 Thermal Physics 3 2 3 Minor PHYCS 209 Yes

**List 2: Students should select one course 3/4XX from the following:

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA PHYCS 221 or PHYCS 314 Classical Mechanics 3 2 3 Minor Yes MATHS 205

PHYCS 331 Physical Optics 3 2 3 Minor PHYCS 102 Yes

PHYCS 221 or PHYCS 348 Electromagnetic Theory 3 2 3 Minor Yes MATHS 205 PHYCS 365 Thermal Physics 3 2 3 Minor PHYCS 209 Yes

PHYCS 351 Solid State Physics I 3 2 3 Minor PHYCS 222 Yes PHYCS 221 PHYCS 425 Computational Physics 3 2 3 Minor or MATHS Yes 205 PHYCS 471 Nuclear Physics 3 2 3 Minor PHYCS 326 Yes

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

PHYCS 333 Oscillations and Waves 3 2 3 Minor PHYCS 221 Yes

PHYCS 344 Plasma Physics 3 0 3 Minor PHYCS 348 Yes

PHYCS 353 Physics of Materials 3 2 3 Minor PHYCS 209 Yes

PHYCS 364 Meteorology 3 2 3 Minor PHYCS 209 Yes

PHYCS 366 Environmental Physics 3 2 3 Minor PHYCS 209 Yes

PHYCS 382 Astronomy 3 0 3 Minor PHYCS 102 Yes

PHYCS 383 Space Science and Technology 3 0 3 Minor PHYCS 102 Yes

PHYCS 408 Medical Physics 3 2 3 Minor PHYCS 209 Yes

PHYCS 421 Mathematical Physics 3 0 3 Minor PHYCS 221 Yes

PHYCS 422 Particle Physics 3 0 3 Minor PHYCS 326 Yes

PHYCS 427 Quantum Mechanics II 3 0 3 Minor PHYCS 326 Yes PHYCS 222 & PHYCS 428 Space and Time 3 0 3 Minor Yes PHYCS 314 PHYCS 444 Electrodynamics 3 0 3 Minor PHYCS 348 Yes

PHYCS 462 Statistical Physics 3 0 3 Minor PHYCS 365 Yes

PHYCS 465 Solar Energy 3 2 3 Minor PHYCS 365 Yes Department PHYCS 492 Selected Topics in Modern Physics 3 0 3 Minor Yes Approval

Minor in Astronomy

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

PHYCS 282 The Cosmic Perspective 3 0 3 Minor PHYCS 102 Yes

PHYCS 283 Planets and the Solar System 3 0 3 Minor PHYCS 282 Yes

PHYCS 381 Stellar Astrophysics 3 0 3 Minor PHYCS 283 Yes

PHYCS 384 Galaxies and the Universe 3 0 3 Minor PHYCS 381 Yes

PHYCS 385 Observational Astronomy 3 2 3 Minor PHYCS 381 Yes See the list PHYCS 3/4XX* (see the list below) 3 0 3 Minor Yes below See the list PHYCS 3/4XX* (see the list below) 3 0 3 Minor Yes below

*Students should select electives 3/4XX from the following:

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA

PHYCS 383 Space Science and Technology 3 0 3 Minor PHYCS 102 Yes

PHYCS 481 Solar System Dynamics 3 0 3 Minor PHYCS 283 Yes

PHYCS 482 High-Energy Astrophysics 3 0 3 Minor PHYCS 384 Yes

PHYCS 483 Extragalactic Astrophysics and Cosmology 3 0 3 Minor PHYCS 384 Yes

PHYCS 485 Astronomical Data Analysis 3 2 3 Minor PHYCS 385 Yes

Minor in Computer Science

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA Yes------ITCE 250 Digital Logic 3 2 3 Minor ITCS 113 -- ITCS 114 & STAT ITCE 314 Computer Networks I 3 2 3 Minor 271 Yes ITCS 285 Database Management Systems 3 2 3 Minor ITCS 214 Yes

ITCS 316 Human-Computer Interaction 3 2 3 Minor ITCS 214 Yes

ITCS 389 Software Engineering I 3 2 3 Minor ITCS 285 Yes

ITCS* 3XX/4XX (see the list below) 3 2 3 Minor see list below Yes

*Students should select electives ITCS 3/4XX from the following:

Course Hours Course Pre Minor Course Code Course Title LEC PRAC CRD Type requisite GPA ITCS 333 Internet Software Development 3 2 3 Minor ITCS 285 Yes

ITCS 444 Mobile Application Development 3 2 3 Minor ITCS 333 Yes

ITCS 453 Multimedia and Hypermedia Systems 3 2 3 Minor ITCS 214 Yes

ITCS 489 Software Engineering II 3 2 3 Minor ITCS 389 Yes Department ITCS 494 Selected Topics in Computer Science 3 2 3 Minor Yes Approval ITCS 496 Physical Implementation of DBMS 3 2 3 Minor ITCS 285 Yes

Major Support Requirement Courses Descriptions

Course Code: PHYCS 102 Course Title: General Physics II Electric charges and fields; Coulomb’s and Gauss’s laws; electric potential; capacitors and dielectrics; direct current circuits; Kirchoff’s rules; magnetic field and flux; ampere’s law; induced emf; Lenz’s law; mutual and self inductance; AC circuits; RLC circuit.(

Course Code: ITCS 114 Course Title: Computer Programming II This course covers key concepts of object-oriented programming. Topics include object oriented design, encapsulation, event handlers, memory management, arrays, exception handlers, searching algorithms, programming applications.

Course Code: ITCS 214 Course Title: Data Structures This course covers data structures and their implementations in an object-oriented programming language. Topics include subtyping, abstract base class, lists, stacks, queues, trees, graphs, hash tables, strategies for choosing appropriate data structure.

College Requirement Courses Descriptions

Course Code: CHEMY 101 Course Title: General Chemistry I Significant figures, chemical formulas and equations; mass relations, limiting reactants and theoretical yield; Physical behavior of gases; electronic structure, periodic table, covalent bonding; Lewis structures, Molecular structures, hybridization; molecular orbitals, solutions; colligative properties. Related practical work.

Course Code: BIOLS 102 Course Title: General Biology I Properties of life; atoms, molecules and chemical bonds; biomolecules; cell structure and function; bioenergetics (intermediary metabolism); cell reproduction; Mendelian genetics; structure of DNA; RNA and protein synthesis; molecular genetics.

Course Code: PHYCS 101 Course Title: General Physics I Units and measurements; brief review of vectors; Newton’s laws of motion; projectile motion; work and energy; impulse and momentum; rotational dynamics; equilibrium of a rigid body; periodic motion.

Course Code: MATHS 121 Course Title: Calculus and Analytic Geometry I Algebra. Functions and graphs. Trigonometry. Conic sections. Limits and continuity. Derivatives and integrals. Applications of derivatives which include mean value theorem, extrema of functions and optimization. Definite integrals and the Fundamental Theorem of Calculus. Derivatives and integrals of exponential, logarithmic and inverse Trigonometric functions.

Course Code: ITCS 113 Course Title: Computer Programming I This course introduces problem solving and fundamental programming concepts and techniques implemented by a high-level programming language. Topics include primitive and compound data types, syntax, semantics, expressions, assignment, input, output, conditional and iterative control structures, functions.

Course Code: ENGL 125 Course Title: English for Science I (SCI) This is the first of two integrated language courses designed specifically for science majors. Special attention is given to scientific vocabulary and the unique features of technical writing. The course includes an extensive reading programme via a self-access lab.

Course Code: ENGL 126 Course Title: English for Science II (SCI) English for Science is the second of two integrated language courses designed specifically for Science majors. Special attention is given to scientific vocabulary and the unique features of technical writing.

University Requirements Courses Descriptions

Course Code: ARAB 110 Course Title: Arabic Language Skills This course focuses on basic Arabic skills including form, function, and meaning. It also helps the student to appreciate and understand structures and approach them from a critical point of view, through various genres in literature.

Course Code: HIST 122 Course Title: Modern History of Bahrain and Citizenship Spatial identity of Bahrain: Brief history of Bahrain until the 18th century; the historical roots of the formation of the national identity of Bahrain since the 18th century; the modern state and evolution of constitutional life in Bahrain; the Arabic and Islamic dimensions of the identity of Bahrain; the core values of Bahrain’s society and citizenship rights (legal, political, civil and economic); duties; responsibilities and community participation; economic change and development in Bahrain; Bahrain’s Gulf, Arab and international relations.

Course Code: HRLC 107 Course Title: Human Rights This course deals with the principles of human rights in terms of the definition of human rights, scope, sources with a focus on the International Bill of Human Rights; The Charter of the United Nations; Universal Declaration of Human Rights; The International Covenant on Economics, Social and Culture rights; Convention against Torture and other Cruel; Mechanics and the Constitutional Protection of Rights and Public Freedoms in Kingdom of Bahrain.

Course Code: ISLM 101 Course Title: Islamic Culture An introduction to the general outline and principles of Islamic culture, its general characteristics, its relationships with other cultures, general principles of Islam in beliefs, worship, legislation and ethics.